Question

The mean radius of the earth is R, its angular speed on its own axis is $\omega$ and the acceleration due to gravity at earth's surface is g. The cube of the radius of the orbit of a geostationary satellite will be

• A.
• B.
• C.
• D.

Answer 1

The correct option is D

$Orbitalvelocity{v}_0=\sqrt{\frac{GM}{r}}=\sqrt{\frac{g{R}^2}{r}}and{v}_0=r\omega Thisgives{r}^3=\frac{R^{2}g}{{\omega }^2}$